61 13... Circular connector, 7-pin, 8-pin, system D2.5
WARNING: This page is about a different car, the 2011 BMW 750xi, 2011 BMW 750Lxi, 2010 BMW 750xi, and 2010 BMW 750Lxi. However, it is still accessible from the selected car via links, so may be relevant.
Carefully pull off rubber grommet (1).
Carefully press back retaining tabs (2) of internal connector (3).
Slide internal connector (3) in direction of arrow until retaining tabs (2) lock into locking groove (4).
Use special tool 61 0 303 (61 1 132) to press back retaining hook (5) of corresponding contact and pull out cable with contact.